The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Chaotic harmony search algorithms
Open accessAbstract
Harmony Search (HS) is one of the newest and the easiest to code music inspired heuristics for optimization problems. Like the use of chaos in adjusting note parameters such as pitch, dynamic, rhythm, duration, tempo, instrument selection, attack time, etc. in real music and in sound synthesis and timbre construction, this paper proposes new HS algorithms that use chaotic maps for parameter adaptation in order to improve the convergence characteristics and to prevent the HS to get stuck on local solutions. This has been done by using of chaotic number generators each time a random number is needed by the classical HS algorithm. Seven new chaotic HS algorithms have been proposed and different chaotic maps have been analyzed in the benchmark functions. It has been detected that coupling emergent results in different areas, like those of HS and complex dynamics, can improve the quality of results in some optimization problems. It has been also shown that, some of the proposed methods have somewhat increased the solution quality, that is in some cases they improved the global searching capability by escaping the local solutions.
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Citations
Cites
Simple mathematical models with very complicated dynamics
May, R. M. (1976) · Nature · doi:10.1038/261459a0 · Cited by 7,001
A New Heuristic Optimization Algorithm: Harmony Search
Geem, Z. W., Kim, J. H., & Loganathan, G. V. (2001) · SIMULATION · doi:10.1177/003754970107600201 · Cited by 6,247
Chaos and Fractals: New Frontiers of Science
Peitgen, H.-O., Jürgens, H., & Saupe, D. (1992) · Springer eBooks · doi:10.1007/978-1-4757-4740-9 · Cited by 1,977
An improved harmony search algorithm for solving optimization problems
Mahdavi, M., Fesanghary, M., & Damangir, E. (2007) · Applied Mathematics and Computation · doi:10.1016/j.amc.2006.11.033 · Cited by 1,863
Lee, K. S., & Geem, Z. W. (2005) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2004.09.007 · Cited by 1,772
Omran, M. G. H., & Mahdavi, M. (2008) · Applied Mathematics and Computation · doi:10.1016/j.amc.2007.09.004 · Cited by 753
Deterministic Chaos: An Introduction
Knight, P. L. (1988) · Journal of Modern Optics · doi:10.1080/09500348814551201 · Cited by 687
Chaotic bee colony algorithms for global numerical optimization
Alatas, B. (2010) · Expert Systems with Applications · doi:10.1016/j.eswa.2010.02.042 · Cited by 551
Self-citationChaos embedded particle swarm optimization algorithms
Alatas, B., Akin, E., & Ozer, A. B. (2009) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2007.09.063 · Cited by 523
Self-citationChaotic sequences to improve the performance of evolutionary algorithms
Caponetto, R., Fortuna, L., Fazzino, S., & Xibilia, M. G. (2003) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2003.810069 · Cited by 519
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Gandomi, A. H., & Yang, X.-S. (2014) · Journal of Computational Science · doi:10.1016/j.jocs.2013.10.002 · Cited by 508
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Mirjalili, S., & Gandomi, A. H. (2017) · Applied Soft Computing · doi:10.1016/j.asoc.2017.01.008 · Cited by 294
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Talatahari, S., Farahmand Azar, B., Sheikholeslami, R., & Gandomi, A. H. (2012) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2011.08.021 · Cited by 260
Metadata
- Authors
- Alatas, B.
- Venue
- Applied Mathematics and Computation
- Publisher
- Elsevier BV
- Published
- 2010-07
- Volume
- 216
- Issue
- 9
- Pages
- 2687-2699
- ISSN
- 0096-3003 (ISSN-L)
- OpenAlex
- W2149236946
- Cited by
- 287
- References
- 21
- FWCI
- 14.62
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
